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47357127400 = 235211832231163
BaseRepresentation
bin101100000110101101…
…000110101011101000
311112020101210022222111
4230012231012223220
51233441411034100
633431111332104
73264360640552
oct540655065350
9145211708874
1047357127400
11190a1955820
129217981034
13460936889b
14241372c4d2
1513728466ba
hexb06b46ae8

47357127400 has 192 divisors, whose sum is σ = 122212177920. Its totient is φ = 16922438400.

The previous prime is 47357127383. The next prime is 47357127403. The reversal of 47357127400 is 472175374.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (47357127403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40719219 + ... + 40720381.

It is an arithmetic number, because the mean of its divisors is an integer number (636521760).

Almost surely, 247357127400 is an apocalyptic number.

47357127400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47357127400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61106088960).

47357127400 is an abundant number, since it is smaller than the sum of its proper divisors (74855050520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47357127400 is a wasteful number, since it uses less digits than its factorization.

47357127400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 47357127400 in words is "forty-seven billion, three hundred fifty-seven million, one hundred twenty-seven thousand, four hundred".